139-140 Implicit Differentiation and Difficulty of Math Problems

Megan asked a great question on twitter:

To speak to my response, here’s a problem that we started off today with in PreCalculus H (started calculus early because they have extra time throughout the year).

Tough problem (unless you solve for y first!). Pretty tricky calculus with a product rule inside of a quotient rule, and some tricky algebra too. Here’s some sample work:

Every student made at least one mistake in this problem. BUT, they had a high level of support, they worked next to their peers throughout, and every couple of minutes I’d show my work. This is a small example of a difficult problem that I’d not put on homework or a test because the hurdles are high and numerous without the support.

 

dan

 

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